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Sliva [168]
3 years ago
6

FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

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There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther
svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown.  All the other animals' numbers are based on cows.  So let's call cows "x".  Then sheep is 3 times the number of cows, so sheep is 3x.  The number of goats is 45 more than the number of cows, so goats is x + 45.  Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats.  In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign.  Filling in from our key above:

\frac{2}{5}a=x+45

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep.  In an algebraic equation:

\frac{3}{5}a=x + 3x.  

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5.  When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5.  When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x.  Solve that equation for a.

a=\frac{20}{3}x

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

2(\frac{20}{3}x)=5x+225 and, simplifying:

\frac{40}{3}x=5x+225 and

\frac{40}{3}x-5x=225.  Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180.  Let's check that to see if the number of goats, 72, is 2/5 of 180.

\frac{2}{5}(180) = 72

So we got it!  Yay!  That was hard!!

7 0
3 years ago
How do you write -x+3y=6 in point-slope form?
klemol [59]
Point slope form is y-y1= m(x-x1)
So u need another x and y ull hav to guess with what u hav so like it could start as 2-1 or 3-0 but it’s ur choice
7 0
3 years ago
Read 2 more answers
Find two consecutive whole numbers that square root 105 lies between
tatiyna
When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).

So, in this case, √105 would fall between 10² (100) and 11² (121)

4 0
3 years ago
At his birthday party Joey got $100 from each of his 2 grandmothers $40 from his dad and $5 from sister, how much did he get? Dr
horsena [70]

He got $245 for his birthday

6 0
3 years ago
A rectangle measures 25 cm by 10 cm. What’s urs area
kati45 [8]
250 cm because area equals LxW and 25x10=250
7 0
3 years ago
Read 2 more answers
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